LBr. 57, 1 · Bernoulli, Joh., fol. 162r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 158v); this page is its right half.
The machine reads it as
- quid si a v + (V) aequale constanti, seu fieri debet seu
- relentis omnibus usque ad aeg. 3. inclusive fiat aloa tb,
- (4t) aeq + aarb,: aam + nbb tapb = da ubi possumus
- duplici
- ratione obtinere, ut exanescat b oecponendo r, n, p, esse o
- vanescente X, fiet Y constans, nempe radius circuli
- quod non licet quia plene connesceret X, vel faciendo 4, m, n, esse
- esse 0 t fiet Ar: p = 1 ex aeg. 3.
- et ex aeq. 2. fier pVX ErX +aa5 =8
- unde pro V ponendo Exxtyy tet EX pp XE + ppXXyy = ad 55 + 2 ar5 X a VYXX
- si quaeratur vv (pV) = aa considerandum esse Urum = lFm = - 2lm.
- Ergo in aeq. 2, fieri opartet 29+ aarb - ats
- aamtnbb tapb
- aqra 12) aegt aarb = 2 at5 aam + nbb = apb
- aa
- potust rursus feri rup esse 0. seu v constans, et patet circulum sufficere omnibus potentius
- (2) aam + nbb + apb
- diter sit 5, 4, m, a, pit 0 ubi idem
- Aliter 5, m, qr
- an sic ague ’agrb + arrbb = 2a saam = 2a5 ubb - 2a5apb
- =ammaa +2aamnbbaa + 2uamapbaa + na b ac + 2nbbapbaa ac pstb
- sed pro tollendo
- fiat n= 0 item, ut bt,
- bb fiat Arr - 2a5n) = (2 a mn a pp seu p + r = + p
- ubi ut tollatur
- Lt
- El pro tollendo b. t p2a P - 2a sap = 2a inp seu + a 4 = 5+ m
- 6
- quo casu
Cite
LBr. 57, 1 · Bernoulli, Joh., fol. 162r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0325?run=74